Homework Help:
Elementary particle Pauli’s exclusion principle

1. The problem statement, all variables and given/known data
An elementary particle called the omega minus has spin 3/2. Calculate the magnitude of the spin angular momentum for this particle and the possible angles the spin angular momentum vector makes with the z-axis. Does this particle obey Pauli’s exclusion principle?

The statement "no two fermions can occupy the same quantum state simultaneously" is precisely the Pauli exclusion principle.

You can tell whether particles obey the principle or not by whether they are fermions or bosons. Fermions obey the principle, and bosons do not. Fermions have half-integer spins, and bosons have integer spins.

The real reason the two kinds of particles behave this way has to do with the set-up of the combined wave function for 2 indistinguishable particles. Fermions have wave functions which are anti-symmetric, while Bosons have symmetric wave functions. If 2 Fermions were occupying the same state, their wave functions would disappear.

The real reason the two kinds of particles behave this way has to do with the set-up of the combined wave function for 2 indistinguishable particles. Fermions have wave functions which are anti-symmetric, while Bosons have symmetric wave functions. If 2 Fermions were occupying the same state, their wave functions would disappear.

Are you talking about even and odd functions here? as in even about the y axis? and that is why their wave functions disappear - because of destructive interference?